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A paperback edition of a classic text, this book gives a unique survey of the known solutions of Einstein's field equations for vacuum, Einstein-Maxwell, pure radiation and perfect fluid sources. It introduces the foundations of differential geometry and Riemannian geometry and the methods used to characterize, find or construct solutions. The solutions are then considered, ordered by their symmetry group, their algebraic structure (Petrov type) or other invariant properties such as special subspaces or tensor fields and embedding properties. Includes all the developments in the field since the first edition and contains six completely new chapters, covering topics including generation methods and their application, colliding waves, classification of metrics by invariants and treatments of homothetic motions. This book is an important resource for graduates and researchers in relativity, theoretical physics, astrophysics and mathematics. It can also be used as an introductory text on some mathematical aspects of general relativity.

General relativity (Physics) --- Gravitational waves. --- Space and time. --- Einstein field equations --- Numerical analysis --- Space of more than three dimensions --- Space-time --- Space-time continuum --- Space-times --- Spacetime --- Time and space --- Fourth dimension --- Infinite --- Metaphysics --- Philosophy --- Space sciences --- Time --- Beginning --- Hyperspace --- Relativity (Physics) --- Gravitational radiation --- Gravity waves (Astrophysics) --- Gravitational fields --- Radiation --- Waves --- Relativistic theory of gravitation --- Relativity theory, General --- Gravitation --- Physics --- Numerical solutions. --- Gravitational waves --- Space and time --- 530.12 --- 530.12 Relativity principle --- Relativity principle --- Numerical solutions --- Relativité générale (Physique) --- Ondes gravitationnelles --- Espace et temps --- General relativity (Physics). --- Einstein field equations - Numerical solutions